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Finding the Third Proportional to 46,257.75 and 95,802.75

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Solution

The third proportional to 46,257.75 and 95,802.75 is: 198,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,257.75 : 95,802.75 = 95,802.75 : x
  2. Step 2: Convert to fraction form
    46,257.75/95,802.75 = 95,802.75/x
  3. Step 3: Cross multiply
    46,257.75x = 95,802.75 × 95,802.75
  4. Step 4: Simplify right side
    46,257.75x = 9,178,166,907.56
  5. Step 5: Solve for x
    x = 9,178,166,907.56/46,257.75
  6. Step 6: Final answer
    x = 198,413.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.